Question

Danny owes his dad $200. He mows lawns after school and on the weekends. He charges $28 a lawn, but pays his friend Sam $12 a lawn to help. Danny plans to repay his dad with half of what he earns on each lawn. Identify the expression which represents the condition described.

Answer 1

200 - 8x

200 - (28-12)(.5)x
200 - (16)(.5)x
200 - 8x

Answer 2

`200 = 8x`

Explanation:

Danny owes his dad $200.

He charges $28 a lawn, but pays his friend Sam $12 a lawn to help

So, He left with earning for a lawn = $28-$12 = $16

Now we are given that Danny plans to repay his dad with half of what he earns on each lawn

So, he pays his dad on each lawn =
`(1)/(2) * 16 = 8`

So, he pays $ 8 to his on each mow

Let no. of lawns he mow be x

So, he pays his day on mowing x lawns = 8x

Since He owes $200 from his dad

So,
`200 = 8x`

or

`200=(28-12)/(2)x`

Hence the expression which represents the condition is
`200 = 8x`